Effect of Pressure on the Solitary Wave Propagation in One-Dimensional Lattice

The solitary wave propagation in an anharmonic monoatomic linear chain for the case of an external pressure is investigated. The potential energy of the crystal with anharmonicities of the third and fourth orders is considered. Two kinds of solitary waves are obtained. The first kind corresponds to the compressive soliton and the second one - to the rarefactive soliton. In the case of the lattice with the cubic anharmonicity the exact theoretical study was done. Numerical calculations were performed for the general case. It is found that when pressure rises, amplitudes of solitons also increase.